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Why is x=0x=0x=0 excluded from the domain of y=axy=\frac{a}{x}y=xa and y=ax2y=\frac{a}{x^2}y=x2a?
A
On y=−4x2y=-\frac{4}{x^2}y=−x24, when x=4x=4x=4, y=−14\boxed{y=-\frac{1}{4}}y=−41.
B
As xxx approaches zero, the denominator becomes very small, so ∣y∣|y|∣y∣ becomes very large.
C
Rotational symmetry maps the point (2,3)(2,3)(2,3) on y=6xy=\frac{6}{x}y=x6 to (−2,−3)\boxed{(-2,-3)}(−2,−3).
D
It would cause division by zero, which is undefined.
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1.2.15 Sketching reciprocal curves Flashcards
20 flashcards on OCR A Level Maths 1.2.15 Sketching reciprocal curves: the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.